Answer:
(x+4)^2 + (y+2)^2 = 5
Step-by-step explanation:
Using the midpoint formula, we find that the center of the circle is (-4, -2). We also calculate using the distance formula that between the two points is
or
.
Because we found the diameter, to find the radius we divide by two, getting
.
Now that we have the center, (-4, -2), and the distance from the center to the radius, we can put the information into the circle equation:
(x-h)^2 + (y-k)^2 = r^2
This becomes:
(x+4)^2 + (y+2)^2 = 5